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Popular >

simplify (3+5i)(5-3i)

Solution

simplify

(3 + 5 i) (5 - 3 i)

Solution

30 + 16 i

Solution steps

(3 + 5 i) (5 - 3 i)

Apply complex arithmetic rule:

(a + bi) (c + d i) = (a c - b d) + (a d + b c) i

= (3 \cdot 5 - 5 (- 3)) + (3 (- 3) + 5 \cdot 5) i

Simplify

(3 \cdot 5 - 5 (- 3)) + (3 (- 3) + 5 \cdot 5) i : 30 + 16 i

= 30 + 16 i

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Frequently Asked Questions (FAQ)

What is (3+5i)(5-3i) ?
The solution to (3+5i)(5-3i) is 30+16i